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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （38-30）/（40-30） = （X-0.092）/(0.0825-0.092) .
Question type: Equation
Solution:Original question:
| ( | 38 | − | 30 | ) | ÷ | ( | 40 | − | 30 | ) | = | ( | X | − | 23 250 | ) | ÷ | ( | 33 400 | − | 23 250 | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 30 | ) | , | ( | 33 400 | − | 23 250 | ) |
| ( | 38 | − | 30 | ) | ( | 33 400 | − | 23 250 | ) | = | ( | X | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 38 | ( | 33 400 | − | 23 250 | ) | − | 30 | ( | 33 400 | − | 23 250 | ) | = | ( | X | − | 23 250 | ) | ( | 40 | − | 30 | ) |
| 38 | ( | 33 400 | − | 23 250 | ) | − | 30 | ( | 33 400 | − | 23 250 | ) | = | X | ( | 40 | − | 30 | ) | − | 23 250 | ( | 40 | − | 30 | ) |
| 38 | × | 33 400 | − | 38 | × | 23 250 | − | 30 | ( | 33 400 | − | 23 250 | ) | = | X | ( | 40 | − | 30 | ) | − | 23 250 | ( | 40 | − | 30 | ) |
| 38 | × | 33 400 | − | 38 | × | 23 250 | − | 30 | ( | 33 400 | − | 23 250 | ) | = | X | × | 40 | − | X | × | 30 | − | 23 250 | ( | 40 | − | 30 | ) |
627 200 | − | 437 125 | − | 30 | ( | 33 400 | − | 23 250 | ) | = | X | × | 40 | − | X | × | 30 | − | 23 250 | ( | 40 | − | 30 | ) |
| - | 361 1000 | − | 30 | ( | 33 400 | − | 23 250 | ) | = | 10 | X | − | 23 250 | ( | 40 | − | 30 | ) |
| - | 361 1000 | − | 30 | × | 33 400 | + | 30 | × | 23 250 | = | 10 | X | − | 23 250 | ( | 40 | − | 30 | ) |
| - | 361 1000 | − | 30 | × | 33 400 | + | 30 | × | 23 250 | = | 10 | X | − | 23 250 | × | 40 | + | 23 250 | × | 30 |
| - | 361 1000 | − | 99 40 | + | 69 25 | = | 10 | X | − | 92 25 | + | 69 25 |
| - | 19 250 | = | 10 | X | − | 23 25 |
Transposition :
| - | 10 | X | = | - | 23 25 | + | 19 250 |
Combine the items on the right of the equation:
| - | 10 | X | = | - | 211 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
211 250 | = | 10 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
| 10 | X | = | 211 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 211 250 | ÷ | 10 |
| = | 211 250 | × | 1 10 |
We obtained :
| X | = | 211 2500 |
Convert the result to decimal form :
| X | = | 0.0844 |